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人教版高中政治必修3感受文化影響精品教案
（三）合作探究、精講點(diǎn)撥 【情景導(dǎo)入，感受文化的影響】用多媒體展示教材“活動(dòng)探究”P(pán)13的內(nèi)容（圖文并茂）情景問(wèn)題：① 從這兩幅畫(huà)面中發(fā)現(xiàn)了哪些文化上的區(qū)別？你還能舉出更多的事例嗎？② 面對(duì)我們祖先創(chuàng)造的精美文化產(chǎn)品，人們的感慨，既有差異，又有共同之處。你能否解釋這是為什么？(學(xué)生討論、回答)情景問(wèn)題：讓學(xué)生閱讀“活動(dòng)探究”情景，帶著這些問(wèn)題去思考、合作、探究，在學(xué)生交流、探究的基礎(chǔ)上，分組派代表完成這些問(wèn)題，突出了學(xué)生的主體地位。設(shè)計(jì)意圖：1、開(kāi)門(mén)見(jiàn)山的方式引導(dǎo)學(xué)生進(jìn)行新的學(xué)習(xí)探究活動(dòng)，創(chuàng)設(shè)問(wèn)題情景，引起懸念，吸引學(xué)生的注意力，激發(fā)學(xué)生的學(xué)習(xí)興趣和探究欲望。2、通過(guò)自主探究，讓學(xué)生感悟到道理越辯越明，促使學(xué)生存疑、質(zhì)疑，從而產(chǎn)生強(qiáng)烈的探究欲望。
人教版高中政治必修4綜合探究：求真務(wù)實(shí)，與時(shí)俱進(jìn)教案
7．我國(guó)人力資源開(kāi)發(fā)利用面臨四大挑戰(zhàn)在全面建設(shè)小康社會(huì)進(jìn)程中，我國(guó)人力資源開(kāi)發(fā)與利用面臨著以下四個(gè)方面嚴(yán)峻挑戰(zhàn)。(1)勞動(dòng)力供給高峰的到來(lái)加劇了勞動(dòng)力供求總量矛盾。持續(xù)的經(jīng)濟(jì)增長(zhǎng)和人口計(jì)劃生育控制，使得我國(guó)人口再生產(chǎn)在不到30年的時(shí)間內(nèi)完成了從“高出生率、低死亡率、高自然增長(zhǎng)率”的類(lèi)型到“低出生率、低死亡率、低自然增長(zhǎng)率”類(lèi)型的轉(zhuǎn)變，人口在日增長(zhǎng)率已經(jīng)連續(xù)數(shù)年低于千分之十。然而，龐大的人口基數(shù)及其低速增長(zhǎng)仍對(duì)中國(guó)未來(lái)經(jīng)濟(jì)增長(zhǎng)和社會(huì)發(fā)展帶來(lái)巨大的就業(yè)壓力，大量預(yù)測(cè)表明，未來(lái)20年是中國(guó)人口數(shù)量增長(zhǎng)和勞動(dòng)力供給的高峰時(shí)期。20世紀(jì)90年代以來(lái)，中國(guó)勞動(dòng)年齡人口比重(16—59歲年齡組)由1990—1996年期間的61％～62％上升到1999年的63．2％。這種趨勢(shì)將會(huì)持續(xù)到2020年左右達(dá)到峰值，直到老齡化進(jìn)程抵消了數(shù)量增長(zhǎng)效應(yīng)，勞動(dòng)年齡人口的比重才會(huì)趨于下降。到2020年，中國(guó)勞動(dòng)年齡人口將由2000年的8．61億上升到10．04億，平均每年新增勞動(dòng)力715萬(wàn)人。
人教版高中政治必修3傳統(tǒng)文化的繼承精品教案
一、教材分析在文化傳承的過(guò)程中，如果說(shuō)文化傳播是文化橫向積累過(guò)程，那么文化繼承就是文化縱向積累的過(guò)程，第四課圍繞文化繼承與文化發(fā)展的關(guān)系，繼續(xù)講述文化傳承的過(guò)程。本框內(nèi)容主要解析中華傳統(tǒng)文化在現(xiàn)實(shí)生活中的作用，闡述繼承傳統(tǒng)文化，發(fā)揮傳統(tǒng)文化的積極作用的正確態(tài)度是“取其精華，去其糟粕”。一、 教學(xué)目標(biāo)1、知識(shí)目標(biāo)通過(guò)介紹傳統(tǒng)習(xí)俗、傳統(tǒng)建筑、傳統(tǒng)文藝、傳統(tǒng)思想在現(xiàn)代社會(huì)生活各方面的延續(xù)及其影響，讓學(xué)生了解文化的繼承性。分析傳統(tǒng)文化的相對(duì)穩(wěn)定性和鮮明的民族性，解析中華民族傳統(tǒng)文化在現(xiàn)實(shí)生活中的作用，知道符合社會(huì)發(fā)展規(guī)律的傳統(tǒng)文化對(duì)社會(huì)與人的發(fā)展的積極作用，而一成不變的傳統(tǒng)文化則會(huì)起阻礙社會(huì)進(jìn)步、妨害發(fā)展的消極作用。明確一個(gè)民族、一個(gè)國(guó)家只有發(fā)揮傳統(tǒng)文化的積極作用，克服傳統(tǒng)文化的消極作用，才能興旺發(fā)達(dá)的道理；闡述繼承傳統(tǒng)文化，發(fā)揮傳統(tǒng)文化的積極作用的正確態(tài)度是“取其精華，去其糟粕”。
人教版高中政治必修3文化創(chuàng)新的源泉和作用精品教案
一、教材分析本節(jié)內(nèi)容主要講述了社會(huì)實(shí)踐在文化創(chuàng)新中的作用和意義，明確了社會(huì)實(shí)踐是文化創(chuàng)新的源泉，也是文化創(chuàng)新的動(dòng)力，文化創(chuàng)新的作用，既表現(xiàn)為不斷推動(dòng)社會(huì)實(shí)踐的發(fā)展，又表現(xiàn)為不斷促進(jìn)民族文化的繁榮。我們要從中體會(huì)社會(huì)實(shí)踐的重要性和意義。二、教學(xué)目標(biāo)（一）知識(shí)目標(biāo)（1） 理解文化發(fā)展的實(shí)質(zhì)在于創(chuàng)新;理解社會(huì)實(shí)踐是文化創(chuàng)新的源泉（2） 理解文化創(chuàng)新的作用；理解人民群眾是社會(huì)實(shí)踐的主體、文化創(chuàng)新的主體。（二）能力目標(biāo)培養(yǎng)學(xué)生列舉實(shí)例說(shuō)明社會(huì)實(shí)踐在 文化創(chuàng)新中的作用。情感、態(tài)度價(jià)值觀目標(biāo)：幫助學(xué)生充分認(rèn)識(shí)建 設(shè)社會(huì)主義先進(jìn)文化的意義，增強(qiáng)民族文化的自豪感。 （三）情感、態(tài)度與價(jià)值觀目標(biāo)情感、態(tài)度及價(jià)值觀目標(biāo)：通過(guò)學(xué)習(xí)本課題內(nèi)容，初步理解文化創(chuàng)新的、意義、作用，做一個(gè)有“文化”的人，認(rèn)識(shí)到文化創(chuàng)新的重要性。深刻理解建。
人教版高中政治必修4價(jià)值判斷與價(jià)值選擇精品教案
南極大地的水陸交接處，全是滑溜溜的冰層或者尖銳的冰棱。企鵝沒(méi)有可以用來(lái)攀爬的前臂，也沒(méi)有可以飛翔的翅膀，如何從水中上岸？紀(jì)錄片《深藍(lán)》展示，企鵝在將要上岸之時(shí)，要從海面潛入海中，沉潛到適當(dāng)?shù)纳疃?，借用水的浮力，迅猛向上，飛出一道弧線，落于陸地之上。企鵝的沉潛是為了蓄勢(shì)，看似笨拙，卻富有成效。人生又何嘗不是如此？沉潛絕非沉淪，而是勇敢、智慧、自強(qiáng)。如果我們?cè)诶щy面前能沉下氣來(lái)，不被“冰棱”嚇倒，不被浮華迷惑，專(zhuān)心致志，自強(qiáng)不息，積聚力量，并抓住恰當(dāng)?shù)臋C(jī)會(huì)反彈向上，毫無(wú)疑問(wèn)，我們就能成功登陸!反之，總是隨波浮沉，或者怨天尤人，注定就會(huì)被命運(yùn)的風(fēng)浪所玩弄，直至精疲力竭。結(jié)合上述材料，運(yùn)用《生活與哲學(xué)》知識(shí)對(duì)“價(jià)值觀是人生的重要向?qū)В袃r(jià)值觀的人生才是更美的人生”加以評(píng)析。7、有兩名畜牧獸醫(yī)專(zhuān)業(yè)畢業(yè)的大學(xué)生應(yīng)聘到農(nóng)村養(yǎng)豬場(chǎng)擔(dān)任技術(shù)總監(jiān)后，大力推廣使用生態(tài)養(yǎng)豬法和中草藥防疫技術(shù)，使養(yǎng)豬場(chǎng)步入了良性發(fā)展軌道。
人教版高中政治必修4認(rèn)識(shí)運(yùn)動(dòng)，把握規(guī)律精品教案
一、教材分析 《認(rèn)識(shí)運(yùn)動(dòng) 把握規(guī)律》是人教版高中政治必修四第4章第2框的教學(xué)內(nèi)容，主要學(xué)習(xí)運(yùn)動(dòng)和規(guī)律二、教學(xué)目標(biāo)1．知識(shí)目標(biāo)：運(yùn)動(dòng)的含義、相對(duì)靜止的含義、規(guī)律的含義、物質(zhì)和運(yùn)動(dòng)的辨證關(guān)系、運(yùn)動(dòng)和靜止的辨證關(guān)系2．能力目標(biāo)： 鍛煉學(xué)生理論聯(lián)系實(shí)際的能力，培養(yǎng)學(xué)生正確認(rèn)識(shí)世界本質(zhì)，并能夠自覺(jué)按照客觀規(guī)律辦事的能力3．情感、態(tài)度和價(jià)值觀目標(biāo)：通過(guò)學(xué)習(xí)運(yùn)動(dòng)和靜止的辨證關(guān)系，使學(xué)生懂得辨證唯物主義在承認(rèn)運(yùn)動(dòng)絕對(duì)性的同時(shí)還承認(rèn)相對(duì)靜止的重要作用，從而承認(rèn)世界是可知的，在生活、學(xué)習(xí)和工作中增強(qiáng)認(rèn)識(shí)世界和改造世界的勇氣和信心，反對(duì)離開(kāi)相對(duì)靜止談運(yùn)動(dòng)，避免形而上學(xué)的相對(duì)主義和詭辯論的錯(cuò)誤三、教學(xué)重點(diǎn)難點(diǎn)規(guī)律的客觀性四、學(xué)情分析本框題的內(nèi)容比較抽象，不易理解，所以講解時(shí)需要詳細(xì)。教師指導(dǎo)學(xué)生借助生活中的一些常識(shí)來(lái)學(xué)習(xí)本課內(nèi)容
人教版高中政治必修4社會(huì)發(fā)展的規(guī)律精品教案
四、學(xué)情分析本課的概念、原理很抽象，學(xué)生的認(rèn)知能力及社會(huì)經(jīng)驗(yàn)有限，應(yīng)注意從以下幾個(gè)方面加以引導(dǎo)。1．澄清概念。本課涉及多個(gè)歷史唯物主義的基本概念，如社會(huì)存在、社會(huì)意識(shí)、生產(chǎn)方式、生產(chǎn)力、生產(chǎn)關(guān)系、經(jīng)濟(jì)基礎(chǔ)、上層建筑、革命、改革等。學(xué)生要準(zhǔn)確深刻地掌握所學(xué)知識(shí)，首先就要對(duì)這些概念的內(nèi)涵有比較明確的理解，因此，澄清概念既是學(xué)習(xí)本課的重要任務(wù)，也是學(xué)習(xí)本課的重要方法。2．觀察生活。在學(xué)習(xí)社會(huì)存在與社會(huì)意識(shí)的辯證關(guān)系原理時(shí)，學(xué)生可以從觀察自己身邊的生活入手，看看自己身邊各種意識(shí)現(xiàn)象背后的物質(zhì)原因是什么。比如，民間流傳的神話、人們信仰的宗教、社會(huì)價(jià)值觀的變化等現(xiàn)象背后的物質(zhì)原因是什么？同時(shí)，看看這些意識(shí)現(xiàn)象對(duì)人們行為和社會(huì)發(fā)展又有哪些能動(dòng)的影響。
新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Listening and Speaking & Listening and Talking教案
Step 2 Listening and Talking1. The teacher is advised to talk with their new students about the related topic: Boys and girls, do you know some structures to talk about future activities? Talking about future activitiesWe’ll …I plan to …There’ll be …I hope to …We’re going to …2. After their small talk, the teacher can move on by playing the listening and solve the following task.Underline the expressions in the sentences below Cao Jing and Max use to talk about the future.We’ll learn useful skills.I plan to improve my spoken English.There’ll be students from different schools.I hope to make new friends.We’ll talk about teenage life.I’ll learn to make a fire.There’ll be students from different countries at the camp.There’ll be some experts there to show us how to live in the wild.We’re going to learn about wildlife.I’m going to give a speech.I think I’m going to enjoy the activities.I think we’ll have a lot of fun.3. Work in groups. Plan a youth camp.Teacher make the Ss think of ideas for the camp. And they can use the questions below to get started. And have the Ss present their ideas for a youth camp to the class.●What kind of camp is it?●Who will be there?●What will they do?●What will they learn?
新人教版高中英語(yǔ)必修1Unit 3 Sports and Fitness- Discovering Useful Structures—tag questions教案
【教材分析】This teaching period mainly deals with the grammar: tag questions.This period carries a considerable significance to the cultivation of students’ spoken English. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercise of good quality.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Get students to have a good understanding of the basic usages of tag questions.2. Enable students to use the basic phrases structures flexibly.3. Develop students’ speaking and cooperating abilities.4. Strengthen students’ great interest in grammar learning.【教學(xué)重難點(diǎn)】1. How to enable students to have a good understanding of the basic usages of tag questions.2. How to enable students to use the basic usages of tag questions flexibly.【教學(xué)過(guò)程】Step1: 語(yǔ)法自主探究一、基本組成方法1.肯定式陳述部分+否定附加疑問(wèn)部分（前肯后否） You often play badminton, don’t you? 你經(jīng)常打羽毛球，是嗎？You are going to the gym with me, aren’t you?你要和我一起去健身房，是嗎？She’s been to shanghai before, hasn’t she? 她以前去過(guò)上海，是嗎？2.否定式陳述部分+肯定附加疑問(wèn)部分（前否后肯） It isn't a beautiful flower, is it? 那不是美麗的花，是嗎？You didn't go skating yesterday, did you? 你昨天沒(méi)去滑冰，是嗎？They can’t finish it by Friday, can they?他們不能在星期五之前完成，是嗎？
新人教版高中英語(yǔ)必修3Unit 3 Diverse Cultures-Discovering Useful Structure教學(xué)設(shè)計(jì)
Step 4 PracticeRead the conversation. Find out which words have been left out.Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Any recommendations for places to visit?Linlin: Wow, cool! Guizhou is a province with a lot of cultural diversity. Places to visit...well, definitely the Huangguoshu Waterfall first.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have. Why ?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King.Justin: Really? Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages. You’ll find Chinese culture is much more diverse than you thought.Justin:Sounds great, thanks.Answers:Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Do you have any recommendations for places to visit?Linlin: Wow, that’s cool! Guizhou is a province with a lot of cultural diversity. What are some places to visit in Guizhou ? Well, definitely the Huangguoshu Waterfall is the first place to visit in Guizhou Province.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have heard of the Chinese novel Journey to the West . Why do you ask if I have heard of the Chinese novel Journey to the West?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King from Journey to the West.Justin: That’s really true? It’s Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages on your trip to Guizhou Province. You’ll find Chinese culture is much more diverse than you thought it was.Justin:This all sounds great, thanks.
新人教版高中英語(yǔ)必修3Unit 4 Space Exploration-Reading and Thinking教學(xué)設(shè)計(jì)二
The theme of this unit focuses on “space exploration.” Students will learn about the training and experience needed to become an astronaut. The text is mainly about the development of space exploration. On the one hand, the text helps students to have a good understanding about the great feats humans have achieved, on the other hand, they will further understand the contributions that we Chinese have achieved, and feel confident and proud about our homeland and strengthen their love for our country. The teacher should instruct students to aim high and study harder to make great progress in the space career if possible.1. Read about the development and value of space exploration.2. Explore the mysteries of the universe and the achievements in space exploration.3. Skillfully use the vocabulary of this text to cultivate self-study ability 4. Develop cooperative learning ability through discussion.1. Enable the Ss to talk about the development and value of space exploration.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.3. Help Ss comprehend the main reasons for space exploration. Multi-media, textbook, notebooks.Step 1: Warming up and predictionLook at the title and the pictures of the text and predict what the text will be about?2. What are the main reasons for space exploration?
新人教版高中英語(yǔ)必修3Unit 4 Space Exploration-Reading and Thinking教學(xué)設(shè)計(jì)一
Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.
新人教版高中英語(yǔ)必修3Unit 4 Space Exploration-Reading For Writing教學(xué)設(shè)計(jì)一
另一方面，其余的人反對(duì)這個(gè)計(jì)劃，因?yàn)樗赡軙?huì)導(dǎo)致一些不好的影響。7.I hold the belief that space exploration not only enable us to understand how the universe began but also help us survived well into the future.我堅(jiān)信探索太空不僅能夠使我們了解宇宙的起源而且能夠幫助我們更好地走進(jìn)未來(lái)。8.I think we should spend more time and money exploring space so as to provide new and better solutions to people's shortterm and longterm problems.為了給人類(lèi)的短期和長(zhǎng)期問(wèn)題提供更新和更好的解決方法，我認(rèn)為我們應(yīng)該花更多的時(shí)間和金錢(qián)來(lái)探索太空。9．From my point of view，it is wrong of young people to depend on their telephones too much，which may do harm to both their physical and mental health.在我看來(lái)，年輕人過(guò)度依賴(lài)手機(jī)是不對(duì)的，因?yàn)樗鼈兛赡軙?huì)對(duì)他們的身心健康都有害。最近你班同學(xué)就“人類(lèi)是否應(yīng)該進(jìn)行宇宙探索”這個(gè)問(wèn)題進(jìn)行了激烈的討論。有人認(rèn)為，探索宇宙不僅讓人類(lèi)更好地了解宇宙的發(fā)展，還可以用來(lái)指導(dǎo)農(nóng)業(yè)生產(chǎn)，以及把一些探索太空的高新技術(shù)用于現(xiàn)實(shí)生活；也有一些人認(rèn)為探索太空花掉了大量的人力物力；影響了人們的生活水平。請(qǐng)你根據(jù)以下情況寫(xiě)一篇報(bào)告并發(fā)表自己的觀點(diǎn)。注意：1.寫(xiě)作內(nèi)容應(yīng)包括以上全部要點(diǎn)，可適當(dāng)發(fā)揮，使上下文連貫；
新人教版高中英語(yǔ)必修3Unit 5 The Value of Money-Reading and Thinking教學(xué)設(shè)計(jì)一
Everybody wants to get wealth.In today’s material world,making money or becoming wealthy symbolizes a person’s success and capability. Many people just make every effort, pay any price to attain greater wealth. With money,they can buy nice, large apartments in nice neighborhood. With money they can own luxurious cars. Wealth seems to bring all happiness in life.But is wealth the only road to happiness? Not really. There are many things in the world, which are beyond the means of money, such as friendship, love, health and knowledge. People are so preoccupied with struggling for money that they have no time or would not take the time to form or maintain friendship. What happiness can they feel living as lonely miserable creatures without love or friends in the world even if they accumulate tremendous wealth?In my opinion, people can’t do anything without money, but money is not everything. What money will bring you depends on your personal belief and goal in life. If you are kind enough to help others, especially the poor, money is a good thing to you. With it, you can do much more for the benefit of people and your country, and it will add to your own happiness. If you want money just for your own needs, you’ll never be satisfied or happy. In a word,you should have money spent for more people. Only then can money be the source of your happiness.Step 8 Homework4 students in a group, one acts Roderick, one Oliver, one servant and the fourth one acts Henry Adams, then listen to the tape, pay more attention to the difference between American English and British English in pronunciation, stress, tone.
新人教版高中英語(yǔ)必修3Unit 5 the value of money-Reading For Writing教學(xué)設(shè)計(jì)一
【參考范文】Narrator：(Henry is smiling as he leaves the restaurant. As he is walking down the street, he sees a sign for a place that cuts hair. He decides to get it cut. )H＝Henry；B＝Barber；R＝rude manH：Good afternoon, I'd like to get a cut, if I may. (The barber looks at Henry's hair and continues cutting another man's hair. )Er, I'd really like a haircut. As you can see it's much too long. B：(in a rude manner) Yes, I can see that. Indeed, I can. H：Fine, well I'll have a seat then. (He sits in one of the barber's chairs. The barber turns to look at Henry. )B：It's quite expensive here, you know！Are you sure you can afford it?H：Yes. I think so. (In comes the rude man. )R：Hey you there. I need a haircut quickly. Can you do me straightaway?B：All right, then, get in the chair and I'll see what I can do. R：Thank you. (sits down in one of the barber's chairs)H：Excuse me, but I was here first. Aren't you going to do my hair first?B：This man's in a hurry. H：Well so am I！I insist that you cut my hair first. B：OK, but I'll have to be quick. This gentleman is waiting. H：Thank you. (They both become quiet. After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B：Why, Mr . . . (looks shocked)H：Adams. Henry Adams. I'm sorry, I don't have any change. R：You're that Mr Adams! Well，I'm glad I waited or I might never have known it was you. B：Why, Mr Adams, please don't worry！(wearing a big smile) Nothing to worry about！Nothing at all!Please come back any time, even if you only need too little hairs cut！It will be my honour to serve you!
人教版高中數(shù)學(xué)選擇性必修二等比數(shù)列的概念 (1) 教學(xué)設(shè)計(jì)
新知探究我們知道，等差數(shù)列的特征是“從第2項(xiàng)起，每一項(xiàng)與它的前一項(xiàng)的差都等于同一個(gè)常數(shù)” 。類(lèi)比等差數(shù)列的研究思路和方法，從運(yùn)算的角度出發(fā)，你覺(jué)得還有怎樣的數(shù)列是值得研究的？1.兩河流域發(fā)掘的古巴比倫時(shí)期的泥版上記錄了下面的數(shù)列:9,9^2,9^3,…,9^10; ①100,100^2,100^3,…,100^10; ②5,5^2,5^3,…,5^10. ③2.《莊子·天下》中提到：“一尺之錘，日取其半，萬(wàn)世不竭.”如果把“一尺之錘”的長(zhǎng)度看成單位“1”，那么從第1天開(kāi)始，每天得到的“錘”的長(zhǎng)度依次是1/2,1/4,1/8,1/16,1/32,… ④3.在營(yíng)養(yǎng)和生存空間沒(méi)有限制的情況下，某種細(xì)菌每20 min 就通過(guò)分裂繁殖一代，那么一個(gè)這種細(xì)菌從第1次分裂開(kāi)始，各次分裂產(chǎn)生的后代個(gè)數(shù)依次是2,4,8,16,32,64,… ⑤4.某人存入銀行a元，存期為5年，年利率為 r ，那么按照復(fù)利，他5年內(nèi)每年末得到的本利和分別是a(1+r),a〖(1+r)〗^2,a〖(1+r)〗^3,a〖(1+r)〗^4,a〖(1+r)〗^5 ⑥
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的前n項(xiàng)和公式（1）教學(xué)設(shè)計(jì)
高斯（Gauss，1777－1855），德國(guó)數(shù)學(xué)家，近代數(shù)學(xué)的奠基者之一. 他在天文學(xué)、大地測(cè)量學(xué)、磁學(xué)、光學(xué)等領(lǐng)域都做出過(guò)杰出貢獻(xiàn). 問(wèn)題1：為什么1＋100＝2＋99＝…＝50＋51呢？這是巧合嗎？試從數(shù)列角度給出解釋.高斯的算法：（1+100）+（2+99）+…+(50+51)= 101×50=5050高斯的算法實(shí)際上解決了求等差數(shù)列：1，2，3，…，n，"… " 前100項(xiàng)的和問(wèn)題.等差數(shù)列中，下標(biāo)和相等的兩項(xiàng)和相等.設(shè) an＝n，則 a1＝1，a2＝2，a3＝3，…如果數(shù)列{an} 是等差數(shù)列，p，q，s，t∈N*，且 p＋q＝s＋t，則 ap＋aq＝as＋at 可得：a_1+a_100=a_2+a_99=?=a_50+a_51問(wèn)題2： 你能用上述方法計(jì)算1＋2＋3＋… ＋101嗎？問(wèn)題3： 你能計(jì)算1＋2＋3＋… ＋n嗎？需要對(duì)項(xiàng)數(shù)的奇偶進(jìn)行分類(lèi)討論.當(dāng)n為偶數(shù)時(shí)， S_n=(1+n)+[(2+(n-1)]+?+[(n/2+(n/2-1)]=(1+n)+(1+n)…+(1+n)=n/2 (1+n) =(n(1+n))/2當(dāng)n為奇數(shù)數(shù)時(shí)， n－1為偶數(shù)
人教版高中數(shù)學(xué)選擇性必修二等比數(shù)列的前n項(xiàng)和公式 (1) 教學(xué)設(shè)計(jì)
新知探究國(guó)際象棋起源于古代印度.相傳國(guó)王要獎(jiǎng)賞國(guó)際象棋的發(fā)明者，問(wèn)他想要什么.發(fā)明者說(shuō)：“請(qǐng)?jiān)谄灞P(pán)的第1個(gè)格子里放上1顆麥粒，第2個(gè)格子里放上2顆麥粒，第3個(gè)格子里放上4顆麥粒，依次類(lèi)推，每個(gè)格子里放的麥粒都是前一個(gè)格子里放的麥粒數(shù)的2倍，直到第64個(gè)格子.請(qǐng)給我足夠的麥粒以實(shí)現(xiàn)上述要求.”國(guó)王覺(jué)得這個(gè)要求不高，就欣然同意了.假定千粒麥粒的質(zhì)量為40克，據(jù)查，2016--2017年度世界年度小麥產(chǎn)量約為7.5億噸，根據(jù)以上數(shù)據(jù)，判斷國(guó)王是否能實(shí)現(xiàn)他的諾言.問(wèn)題1：每個(gè)格子里放的麥粒數(shù)可以構(gòu)成一個(gè)數(shù)列,請(qǐng)判斷分析這個(gè)數(shù)列是否是等比數(shù)列?并寫(xiě)出這個(gè)等比數(shù)列的通項(xiàng)公式.是等比數(shù)列,首項(xiàng)是1，公比是2，共64項(xiàng). 通項(xiàng)公式為〖a_n=2〗^(n-1)問(wèn)題2：請(qǐng)將發(fā)明者的要求表述成數(shù)學(xué)問(wèn)題.
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的概念（1）教學(xué)設(shè)計(jì)
我們知道數(shù)列是一種特殊的函數(shù)，在函數(shù)的研究中，我們?cè)诶斫饬撕瘮?shù)的一般概念，了解了函數(shù)變化規(guī)律的研究?jī)?nèi)容（如單調(diào)性，奇偶性等）后，通過(guò)研究基本初等函數(shù)不僅加深了對(duì)函數(shù)的理解，而且掌握了冪函數(shù)，指數(shù)函數(shù)，對(duì)數(shù)函數(shù)，三角函數(shù)等非常有用的函數(shù)模型。類(lèi)似地，在了解了數(shù)列的一般概念后，我們要研究一些具有特殊變化規(guī)律的數(shù)列，建立它們的通項(xiàng)公式和前n項(xiàng)和公式，并應(yīng)用它們解決實(shí)際問(wèn)題和數(shù)學(xué)問(wèn)題，從中感受數(shù)學(xué)模型的現(xiàn)實(shí)意義與應(yīng)用，下面，我們從一類(lèi)取值規(guī)律比較簡(jiǎn)單的數(shù)列入手。新知探究1.北京天壇圜丘壇，的地面有十板布置，最中間是圓形的天心石，圍繞天心石的是9圈扇環(huán)形的石板，從內(nèi)到外各圈的示板數(shù)依次為9,18,27,36,45,54,63,72,81 ①2.S，M，L，XL，XXL，XXXL型號(hào)的女裝上對(duì)應(yīng)的尺碼分別是38,40,42,44,46,48 ②3.測(cè)量某地垂直地面方向上海拔500米以下的大氣溫度，得到從距離地面20米起每升高100米處的大氣溫度（單位℃）依次為25,24,23,22,21 ③
人教版高中數(shù)學(xué)選擇性必修二數(shù)列的概念（1）教學(xué)設(shè)計(jì)
情景導(dǎo)學(xué)古語(yǔ)云:“勤學(xué)如春起之苗,不見(jiàn)其增,日有所長(zhǎng)”如果對(duì)“春起之苗”每日用精密儀器度量,則每日的高度值按日期排在一起,可組成一個(gè)數(shù)列. 那么什么叫數(shù)列呢?二、問(wèn)題探究1. 王芳從一歲到17歲，每年生日那天測(cè)量身高，將這些身高數(shù)據(jù)（單位：厘米）依次排成一列數(shù)：75,87,96,103,110,116,120,128,138，145,153,158,160,162,163,165,168 ①記王芳第i歲的身高為 h_i ，那么h_1=75 , h_2=87, 〖"…" ，h〗_17=168.我們發(fā)現(xiàn)h_i中的i反映了身高按歲數(shù)從1到17的順序排列時(shí)的確定位置，即h_1=75 是排在第1位的數(shù)，h_2=87是排在第2位的數(shù)〖"…" ，h〗_17 =168是排在第17位的數(shù)，它們之間不能交換位置，所以①具有確定順序的一列數(shù)。2. 在兩河流域發(fā)掘的一塊泥板（編號(hào)K90，約生產(chǎn)于公元前7世紀(jì)）上，有一列依次表示一個(gè)月中從第1天到第15天，每天月亮可見(jiàn)部分的數(shù)：5,10,20,40,80,96,112,128,144,160,176,192,208,224,240. ②